Efficiency of discrete-time ratchets
Statistical Mechanics
2007-05-23 v1 Other Condensed Matter
Abstract
Recently there has been much interest in discrete forms of Brownian ratchets, using a game-theoretic formalism. Using the approach pioneered by Parrondo, we develop a new method for obtaining the stationary probabilities and probability current for the case of discrete-time and discrete-space ratchets. We then use this result to calculate the Parrondian ratchet efficiency in two cases: firstly, for Parrondo's original system and, secondly, for a set of probabilities derived from a discretized ratchet potential.
Cite
@article{arxiv.cond-mat/0410173,
title = {Efficiency of discrete-time ratchets},
author = {P. Amengual and R. Toral and A. Allison and D. Abbott},
journal= {arXiv preprint arXiv:cond-mat/0410173},
year = {2007}
}
Comments
4 pages, 3 figures